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Simplifying x + (x + 1) + 2(x + 2) = 1 Reorder the terms: x + (1 + x) + 2(x + 2) = 1 Remove parenthesis around (1 + x) x + 1 + x + 2(x + 2) = 1 Reorder the terms: x + 1 + x + 2(2 + x) = 1 x + 1 + x + (2 * 2 + x * 2) = 1 x + 1 + x + (4 + 2x) = 1 Reorder the terms: 1 + 4 + x + x + 2x = 1 Combine like terms: 1 + 4 = 5 5 + x + x + 2x = 1 Combine like terms: x + x = 2x 5 + 2x + 2x = 1 Combine like terms: 2x + 2x = 4x 5 + 4x = 1 Solving 5 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 1 + -5 4x = 1 + -5 Combine like terms: 1 + -5 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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